In ΔXYZ, the measure of ∠Z=90°, the measure of ∠X=57°, and XY = 8 feet. Find the length of YZ to the nearest tenth of a foot.

Question

Mathematics

Tyrese Sharp

9 June, 04:03

In ΔXYZ, the measure of ∠Z=90°, the measure of ∠X=57°, and XY = 8 feet. Find the length of YZ to the nearest tenth of a foot.

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Answers (1)

Know the Answer?

London Lawson · Answer 1

I got 3.9

Step-by-step explanation:

I used Sin Law to answer this question. Angle Z corresponds with the side that it face. So it will be 8/sin (90) = x / sin (57) Where x is the side that you are looking for. Once you cross multiply you get 8sin (57) = x sin (90). After that divide sin (90) to solve for x, which is the side that you are looking for. And I got 3.9 to the nearest tenth of a foot.